A goat is tied to the corner of a rectangular shed in a large field full of grass. The rope is 2 yards long and a plane view (from above) of the shed and field is shown below. Use this information for Parts A and B below.
Part A: Calculate the area of grass that the goat can eat.
Part B: What length of rope would enable the goat to eat 30 square yards of grass? Show all your reasoning.
Answers
Answer:
9.42 yd²3.57 ydStep-by-step explanation:
Part AThe area of circle with radius of 2 yd (the length of the rope) is:
A = π*r² = 3.14*2² = 12.56 yd²Since 1/4 of the circle is occupied by the shed, the area of the grass is:
12.56*3/4 = 9.42 yd²Part BLet the area be 30 yd², finding the r as per above formula:
3/4*3.14*r² = 30r² = 30*4/3*3.14r² = 12.74r = √12.74r = 3.57 ydRelated Questions
How many solutions does the absolute value equation have?
I x - 3 I + 2 = -2
Answers
9514 1404 393
Answer:
the correct answer is marked
Step-by-step explanation:
When the graph of the left side of the equation does not intersect the graph of the right side of the equation, there are no solutions.
__
Additional comment
Even if you extend the domain to complex numbers, there are no solutions. The f(x) = |x| function always returns a positive real value, even for complex numbers.
Which phrase describes how to divide a complex number z by r(cos θ + i sin θ)?
Scale by a factor of StartFraction 1 Over r EndFraction and rotate clockwise by θ.
Scale by a factor of r and rotate clockwise by θ.
Scale by a factor of StartFraction 1 Over r EndFraction and rotate counterclockwise by θ.
Scale by a factor of r and rotate counterclockwise by θ.
Answers
Answer:
its a
Step-by-step explanation:
The phrase is Scale by a factor of 1 /r and rotate clockwise by θ.
What is complex number?Complex numbers are numbers that consist of two parts — a real number and an imaginary number.
Given:
z=r(cos θ + i sin θ)
So, to divide a complex number the best phrase to describe is Scale by a factor of 1 /r and rotate clockwise by θ.
Learn more about complex number here:
https://brainly.com/question/28007020
#SPJ2
John is a quarterback this year he completed 350 passes which is 70% of all passes he is attempting this year
Answers
Answer:
John attempted 500 passes.
Step-by-step explanation:
350 / x = 70%
350 = 0.7x
x = 500
What do you call a female bug that floats?
Answers
Answer:
A buoyant girl ant
Step-by-step explanation:
Find the value of this question
Answers
Answer:
the expression is equal to 0
The price of a television was reduced from $250 to $200. What was the percent decrease in price? HELPP? ILL GIVE YOU A BRAINLLEST?!!
Answers
Answer:
20%
I hope this is good enough:
Karen spent 39 minutes knitting 3 hats. In all, how many hats could Karen knit in 117 minutes
Answers
2688 divided by 96 with remainder
Answers
Answer: OK, the answer is 28.
Step-by-step explanation: Also there is no remainder for this division problem, you could have the remainder if the numbers are not the same as a multiplication problem, so did you get it?
ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST Paul's Pumpkin Patch advertises four pumpkins for $10.50. Which equation below represents this proportional relationship?
Answers
Answer
the 1st equation
Step-by-step explanation:
If 6 x 7 = 26 +0, find the number that belongs in the box.
211
Answers
Evaluate the function for x = 2,3,4
F(x) =2x-7-3
Answers
Answer:
below in bold
Step-by-step explanation:
f(x) = 2x - 7 - 3
~Combine like terms
f(x) = 2x - 10
When x = 2...
f(x) = 2(2) - 10
f(x) = 4 - 10
f(x) = -6
When x = 3...
f(x) = 2(3) - 10
f(x) = 6 - 10
f(x) = -4
When x = 4...
f(x) = 2(4) - 10
f(x) = 8 - 10
f(x) = -2
Best of Luck!
Out of 1,200 students surveyed, 92% of them like country music. How many students like rap music?
Answers
Answer:
96
Step-by-step explanation:
1200*92=110400/100=1104
1200-1104=96
Answer:
1152 students like rap just take the numbers n divide
If Thomas travels 120 miles in 2 hours how many will it take him to travel 300 miles
Answers
Answer:
5hours
Step-by-step explanation:
120÷2=60
60=1 hour
300÷60=5
5hours
If a train traveled at 50 meters within 120 seconds, what is its speed?
Answers
Answer:
v = 0.416 m/s
Step-by-step explanation:
Give that,
Distance covered by a train, d = 50 m
Time taken, t = 120 s
We need to find the speed of a train. The formula for speed of an object is equal to the total distance covered divided by total time taken. It can be given by :
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{50\ m}{120\ s}\\\\v=0.416\ m/s[/tex]
So, the speed of a train is 0.416 m/s.
Are they equal or diffrent angles
Answers
find the domain of f(x) . give answer in interval notation
Answers
Answer:
(0,6]
Step-by-step explanation:
Please help geometry find the solution
Answers
Answer:
Directions Unclear:
Step-by-step explanation:
I am now drowning on air.
Answer:
ok
Step-by-step explanation:
Check the picturee need helppp
Answers
Evaluate the expression 8-3×2+5
Answers
Answer:
7
Step-by-step explanation:
First do 3x2 to get 6, and then do 8-6, which is 2, and add that to 5 to get 7
You work at a frozen yogurt shap during the summer. You need to order 5-ounce and 8-ounce cups. The storage room will only hold 10 more boxes. A box of 5-ounce cups costs $100 and a box of 8-ounce cups costs $150, A maximum of $1200 is budgeted for yogurt cups. A. Write a system of linear inequalities that shows the number of boxes of 5-ounce and 8- ounce cups that could be bought. B. Graph the system. C. Name a combination of 5- and 8-ounces boxes of cups that could be bought.
Answers
Answer: 100f + 150e = 1250
Step-by-step explanation:
Subtract the 1st from the 2nd to solve for e:
50e = 250
e = 5 boxes (# of boxes of eight-once cups)
f + e = 10, so f = 5 boxes: (# of boxes of five-once cups)
6 boxes of 5-ounce cups and 4 boxes of 8-ounce cups could be bought.
Let x represent the number of box of 5-ounce cups and y represent the number of box of 8 ounce cups.
The room can only hold 10 more boxes, hence:
x + y ≤ 10 (1)
A maximum of $1200 is budgeted for yogurt cups. Hence:
100x + 150y ≤ 1200 (2)
Plotting the graph of the inequality, the solution is at (6, 4)
Therefore 6 boxes of 5-ounce cups and 4 boxes of 8-ounce cups could be bought.
Find out more at: brainly.com/question/4483570
David has 4 bales of hay for his 13 cows. What is an equivalent ratio of cows to bales of hay
Answers
Answer:
13 : 4
Step-by-step explanation:
13 : 4
he has 13 cows and he has 4 bales of hay so 13:4
you can't simplfy it so its still 13 : 4
Bella wants to create a tea-mix. She can buy Asian Treasure tea for $7.50 per ounce and Paradise tea for $5.00 per ounce. If she wants to make 60 ounces of tea-mix at a cost of $6.00 per ounce, how many ounces of Asian Treasure tea and how many ounces of Paradise tea should she buy?
Answers
9514 1404 393
Answer:
24 oz Asian Treasure36 oz ParadiseStep-by-step explanation:
The proportion of Asian Treasure is the difference in price of the mix and Paradise tea, divided by the difference in price of Asian Treasure and Paradise tea. So the amount of Asian Treasure is ...
(6.00 -5.00)/(7.50 -5.00)(60 ounces) = 24 ounces . . . Asian Treasure tea
The remaining 60-24 = 36 ounces will be Paradise tea.
__
Using an equation
You can get the same result if you define a variable (a) to the amount in ounces of the higher-priced contributor. Then the lower-priced contributor will be in the amount (60-a) ounces. The total cost of the mix is ...
7.50a +5.00(60 -a) = 60(6.00)
(7.50 -5.00)a +60(5.00) = 60(6.00) . . . rearrange the left side
(7.50 -5.00)a = 60(6.00 - 5.00) . . . . . . subtract 60(5.00)
a = 60(6.00 -5.00)/(7.50 -5.00) . . . . . . divide by the coefficient of 'a'
Note that this last expression is identical to the one we used above to find the quantity of Asian Treasure tea.
HELP
Solve y – 18 = –3.
Answers
Answer:
y = 15
Add 18 to both sides to cancel out the negative next to the y
Answer:
y=15
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-18-(-3)=0
y-15 = 0
Add 15 to both sides of the equation :
y = 15
Your 1 cup measuring cup is dirty/ lost. How are you going to measure out 2 14 cups of flour for the cookie recipe?
Answers
Answer:
You are going to try to eyeball it and if your not able to then another guess is to look for a 1/2 table spoon and use it twice
Step-by-step explanation:
Im worried if I a wrong
Answer:
You would divide 14/2 because there is a 2 cup measuring cup and you need 14 cup so 14 / 2 = 7 you need to use the measuring cup 7 times.
Step-by-step explanation:
Please mark brainliest
Have a great day!
Evaluate 2ab if a=5 and, b=8.
Answers
Answer:
80
2(5)(8)
you multiply 2 times 5 = 10
10 times 8 is 80
5. Cherries are on sale for $16 for 4 pounds. Jordyn pays $28.00 for
cherries to make a cobbler. How many pounds of cherries does she buy? *
Answers
Answer:
7 pounds
Step-by-step explanation:
1 pound is $4 28/4 is 7
Explain how multiplying fractions and dividing fractions are alike and how they are different.
Answers
Answer:
Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).
Step-by-step explanation:
Example:
[tex]\frac{3}{4} * \frac{1}{5} = \frac{3}{20}[/tex]
[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5} = \frac{3}{4} * \frac{5}{1} = \frac{15}{4}[/tex]
9x+6+4x-2x+1-15
What is the answer?
Answers
Answer: 3x - 8
Hope it helps!
Answer:
9 + 6 + 4 − 2 + 1 − 1 5
9x+{\color{#c92786}{6}}+4x-2x+{\color{#c92786}{1}}{\color{#c92786}{-15}}
9x+6+4x−2x+1−15
9 − 8 + 4 − 2
Step-by-step explanation:
Can someone help? I don't really understand this question...
Answers
7 1/2 x 4 = 7 4/8
7 4/8 - 5 5/8 = 1 7/8
Find the slope using the formula.
(-2,-9) and (-6,-6)
Answers
Answer:(3,-4) you just have to follow the equation.
Slope = change in y over change in x.
Slope = (-6 - -9) / (-6 - -2)
Slope = (-6 + 9) / (-6 + 2)
Slope = 3/-4
Slope = -3/4